Free vibration analysis of fiber reinforced cylindrical shells under various boundary conditions

This paper concerns the free vibrations of cylindrical shells consisting carbon fibers under various boundary conditions. The governing equations are based on higher order shear deformation theory and by employing the Hamilton’s principle. A micromechanical model is employed to define the me-chanical properties of composite cylinder shell. The results are evaluated by those reported in the lite-rature, then problem is solved numerically using the wave propagation approach method as an accu-rate, simple and computationally efficient numerical tool to obtain natural frequencies. Suitable dis-placement functions that identically satisfy the various boundary conditions are used to reduce the equilibrium equations to a set of coupled ordinary differential equations with variable coefficients, which can be solved by wave propagation approach method. In this work the case of uniformly distri-buted carbon fibers is assumed. Results for the fundamental linear frequencies are obtained for fiber reinforced cylindrical shell with T300 carbon fibers in polymer matrix. In addition the effect of fibers volume fractions and different boundary conditions are also examined.

Keywords:

Free vibration , Fiber reinforced , Cylindrical shells , Higher order shear deforma-tion theory